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Simplifying 3(4x + 1) + -2(3x + 2) = 0 Reorder the terms: 3(1 + 4x) + -2(3x + 2) = 0 (1 * 3 + 4x * 3) + -2(3x + 2) = 0 (3 + 12x) + -2(3x + 2) = 0 Reorder the terms: 3 + 12x + -2(2 + 3x) = 0 3 + 12x + (2 * -2 + 3x * -2) = 0 3 + 12x + (-4 + -6x) = 0 Reorder the terms: 3 + -4 + 12x + -6x = 0 Combine like terms: 3 + -4 = -1 -1 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x -1 + 6x = 0 Solving -1 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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